Competitive equilibria in economies with multiple divisible and indivisible commodities and without money

A general equilibrium model is considered with multiple divisible and multiple indivisible commodities. In models with indivisibles it is typically assumed that an indivisible commodity, called money, is present that is needed to transfer the value of amounts of indivisible goods. For economies with divisible and indivisible goods and money and without producers it is well understood in the literature that a general equilibrium exists if the individual demands and supplies for the indivisible goods all belong to the same class of discrete convexity.